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Finding the Fourth Proportional to 17,760.64, 24,507.20 and 11,783.04

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Solution

The fourth proportional to 17,760.64, 24,507.20 and 11,783.04 is: 16,258.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,760.64 : 24,507.20 = 11,783.04 : x
  2. Step 2: Convert to fraction form
    17,760.64/24,507.20 = 11,783.04/x
  3. Step 3: Cross multiply
    17,760.64x = 24,507.20 × 11,783.04
  4. Step 4: Simplify right side
    17,760.64x = 288,769,317.89
  5. Step 5: Solve for x
    x = 288,769,317.89/17,760.64
  6. Step 6: Final answer
    x = 16,258.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.